Suppose f f(x) dx = 25, f f(x) dx = 10, f g(x) dx = 10 and h(x) = 0 3 the following: a. (5f(x) 6g(x) + 4h(x))dx 0 b. f h(x)dx, if h(x) is odd -3 2f(x)-3g(x) pines Find

Q: 2. Given g(x) = (3x+ 2)(x- 2), determine each value. a) g(0) b) g(-1) c) g(1/2)

A: The given function,   g(x)=3x+2x-2

Q: Let f(x) = 5x² - 4 to find the following value. f(t+1) f(t+1)= 5t+10t+1

A: Given f(x)= 5x2-4

Q: (4x +7)(5– 2x) f(x)= %3D (x-1)²

A: Given data:     The expression for the function is: f(x)=(4x+7)(5-2x)/(x-1)2.   The expression for…

Q: Given that f(x) = 3x/x-9, for what values of x does f(x) = 4/5?

A: To calculate the value of x.

Q: x5-3x-2-7x c) iii) f"(x) for f(x) = %3D

A:

Q: = 21a and g (x) 4, then (gc 21 4.00

A: We have to choose the correct answer from the given option according to the given condition

Q: Given f (x) = k(x – 1)2 + 1, find a simplified expression for k, in respect to a, if f-1(16a*) =…

A: Topic = Function Finding the Inverse of a Function:- First, replace f(x) with y. Replace every x…

Q: 8) Find 4 given : f(x)=- (3x² – 2x +1)'

A:

Q: If h(x) = (4x – 7)/5   then h-1(x) =

A:

Q: Given that g(x) = 3x-1/x+2 and h(x) = 7x+1/5x-1 a. Evaluate g(3). b. Show that hg(3) = 61/35

A: We evaluate the following function

Q: Let g(x)=x2+6x        and f(x)=4x       Find each of the following.      a)  g(−1)      b)…

A:

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: For f (x) = x² + 6 and g(x) = V1 – x find the following values. a. (f + g)(x)

A:

Q: Suppose f(x) = - 3x+5x + 6. Compute the following: %3D a) f( – 4) + f(2) = b) f( – 4) – f(2) =

A:

Q: Find   g−1 ∘ f −1

A:

Q: Given f(x) = 7 + 3  /  8  , then f-1 (x)  will be?

A:

Q: If f(x) = x² – 5 and g(x) = 6x, then g(f(x)) is equal to %3D A 6x³ – 30x © 36x? – 5 6x² – 30 D x2 +…

A: Given:     To determine:

Q: Find f(g(-5)), if f(x) = „4 and g(x) = (x+ 4)² O -7/9 O -7/3 O 2/9 O 1051/81

A:

Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

A:

Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: If VAR(X) = 8, E(X)= 3, then E(X – 2)² = None

A: Provided information is,  VAR(X) = 8, E(X) = 3 From given information,…

Q: 7. Given f (x) = 4 +3|2x + 4|, find f (-3). %3D

A: Given that f(x) = 4 + 3 |2x + 4| We need to find value of f(-3). Now, Put the value x = -3 in given…

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

A:

Q: Find the composition f[g(x)] if: O 2-3u10 (10 - 15x2)5 O f(u) = u5 and g(x) = 2 - 3x² (2-3x²)²…

A: fu=u5 , gx=2-3x2

Q: 1 Let f(x) and g(x) = 4x + 5. - 4 | Then (f o g)(6) (f o g)(x) =

A: The solution is given below :

Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is

Q: xe 47. h(x) Rule %3D x + 1

A:

Q: Suppose f(x) = 5x – 6 and g(x) = Va² – 2x + 5. - - (f o g)(x) = (f o g)(5) =

A: